Brauer groups and obstruction problems, moduli spaces and arithmetic
Brauer groups and obstruction problems : moduli spaces and arithmetic [Documento electrónico] / edited by Asher Auel ... [et al.].
- Cham : Springer , 2017 .
- IX, 247 p..
- (Progress in mathematics)
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: · Nicolas Addington · Benjamin Antieau · Kenneth Ascher · Asher Auel · Fedor Bogomolov · Jean-Louis Colliot-Thélène · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrì · Kelly McKinnie · Andrew Obus · Ekin Ozman · Raman Parimala · Alexander Perry · Alena Pirutka · Justin Sawon · Alexei N. Skorobogatov · Paolo Stellari · Sho Tanimoto · Hugh Thomas · Yuri Tschinkel · Anthony Várilly-Alvarado · Bianca Viray · Rong Zhou.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-319-46852-5
Geometria algébrica
Teoria dos números
LCC QA564
Clicar aqui para aceder a um recurso externo
ISBN 978-3-319-46852-5
Geometria algébrica
Teoria dos números
LCC QA564